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arXiv · hep-ph/9905439

Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory

A. Jakovac·A. Patkos·P. Petreczky·Zs. Szep
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Abstract

The effective dynamics of the low-frequency modes is derived for the O(N) symmetric scalar field theory in the broken symmetry phase. The effect of the high-frequency fluctuations is taken into account at one-loop level exactly. A new length scale is shown to govern the long-time asymptotics of the linear response function of the Goldstone modes. The large time asymptotic decay of an arbitrary fluctuation is determined in the linear regime. We propose a set of local equations for the numerical solution of the effective non-linear dynamics. The applicability of the usual gradient expansion is carefully assessed.

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A. Jakovac, A. Patkos, P. Petreczky, Zs. Szep. 1999-10-06. Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory. https://doi.org/10.1103/physrevd.61.025006

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